7x+6=8(x-4)

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Solution for 7x+6=8(x-4) equation:


Simplifying
7x + 6 = 8(x + -4)

Reorder the terms:
6 + 7x = 8(x + -4)

Reorder the terms:
6 + 7x = 8(-4 + x)
6 + 7x = (-4 * 8 + x * 8)
6 + 7x = (-32 + 8x)

Solving
6 + 7x = -32 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
6 + 7x + -8x = -32 + 8x + -8x

Combine like terms: 7x + -8x = -1x
6 + -1x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -1x = -32 + 0
6 + -1x = -32

Add '-6' to each side of the equation.
6 + -6 + -1x = -32 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -32 + -6
-1x = -32 + -6

Combine like terms: -32 + -6 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38

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